# How much work would it take to push a  4 kg  weight up a  3 m  plane that is at an incline of  pi / 4 ?

Apr 17, 2017

$83.156 j$
$F = m g \sin \theta$ where $m = 4 k g , g = 9.8 \frac{m}{s} ^ 2 \mathmr{and} \theta = \frac{\pi}{4}$
work $= 4 \cdot 9.8 \cdot \sin \left(\frac{\pi}{4}\right) \cdot 3 = 4 \cdot 9.8 \cdot 0.7071 \cdot 3 = 83.156 j$